On primitives and conjugate harmonic pairs in Hermitean Clifford analysis

نویسندگان

  • F. Brackx
  • H. De Schepper
  • R. Lávička
  • V. Souček
چکیده

The notion of a conjugate harmonic pair in the context of Hermitean Clifford analysis is introduced as a pair of specific harmonic functions summing up to a Hermitean monogenic function in an open region Ω of C. Under certain geometric conditions on Ω the conjugate harmonic to a given specific harmonic is explicitly constructed and the potential or primitive of a Hermitean monogenic function is determined. MSC Classification: 30G35

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تاریخ انتشار 2011